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What is the Least Common Multiple of 17734 and 17747?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 17734 and 17747 is 314725298.

LCM(17734,17747) = 314725298

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Least Common Multiple of 17734 and 17747 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17734 and 17747, than apply into the LCM equation.

GCF(17734,17747) = 1
LCM(17734,17747) = ( 17734 × 17747) / 1
LCM(17734,17747) = 314725298 / 1
LCM(17734,17747) = 314725298

Least Common Multiple (LCM) of 17734 and 17747 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17734 and 17747. First we will calculate the prime factors of 17734 and 17747.

Prime Factorization of 17734

Prime factors of 17734 are 2, 8867. Prime factorization of 17734 in exponential form is:

17734 = 21 × 88671

Prime Factorization of 17747

Prime factors of 17747 are 17747. Prime factorization of 17747 in exponential form is:

17747 = 177471

Now multiplying the highest exponent prime factors to calculate the LCM of 17734 and 17747.

LCM(17734,17747) = 21 × 88671 × 177471
LCM(17734,17747) = 314725298